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Bounds for degrees of syzygies of polynomials defining a grade two ideal
Teresa Cortadellas Benitez, Carlos D'Andrea, Eulalia Montoro
We make explicit the exponential bound on the degrees of the polynomials appearing in the Effective Quillen-Suslin Theorem, and apply it jointly with the Hilbert-Burch Theorem to s…
The Rees Algebra of Parametric Curves via liftings
Teresa Cortadellas Benitez, David Cox, Carlos D'Andrea
We study the defining equations of the Rees algebra of ideals arising from curve parametrizations in the plane and in rational normal scrolls, inspired by the work of Madsen and Ku…
Minimal solutions of the rational interpolation problem
Teresa Cortadellas Benitez, Carlos D'Andrea, Eulalia Montoro
We explore connections between the approach of solving the rational interpolation problem via resolutions of ideals and syzygies with the standard method provided by the Extended E…
The Rees Algebra of a monomial plane parametrization
Teresa Cortadellas Benitez, Carlos D'Andrea
We compute a minimal bigraded resolution of the Rees Algebra associated to a proper rational parametrization of a monomial plane curve. We describe explicitly both the bigraded Bet…
Minimal generators of the defining ideal of the Rees Algebra associated to monoid parametrizations
Teresa Cortadellas Benitez, Carlos D'Andrea
We describe a minimal set of generators of the defining ideal of the Rees Algebra associated to a proper parametrization of any monoid hypersurface. In the case of plane curves, we…
Tangent cones of numerical semigroup rings
Teresa Cortadellas Benitez, Santiago Zarzuela Armengou
In this paper we describe the structure of the tangent cone of a numerical semigroup ring with multiplicity (as a module over the Noether normalizat…